Vladimir Kanovei


Vladimir G. Kanovei is a Russian mathematician working at the Institute for Information Transmission Problems in Moscow, Russia. His interests include mathematical logic and foundations, as well as mathematical history.

Selected publications

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  • Kanovei, Vladimir; Reeken, Michael; Nonstandard analysis, axiomatically. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2004. xvi+408 pp.
  • Kanovei, Vladimir; Borel equivalence relations. Structure and classification. University Lecture Series, 44. American Mathematical Society, Providence, RI, 2008. x+240 pp.
  • Kanoveĭ, V.; Reeken, M.; On Ulam's problem concerning the stability of approximate homomorphisms. Tr. Mat. Inst. Steklova 231, Din. Sist., Avtom. i Beskon. Gruppy, 249–283; translation in Proc. Steklov Inst. Math. 2000, no. 4, 238–270
  • Kanoveĭ, V. G.; Lyubetskiĭ, V. A.; On some classical problems in descriptive set theory. Uspekhi Mat. Nauk 58, no. 5, 3--88; translation in Russian Math. Surveys 58, no. 5, 839–927
  • Kanoveĭ, V. G.; Reeken, M.; Some new results on the Borel irreducibility of equivalence relations. Izv. Ross. Akad. Nauk Ser. Mat. 67, no. 1, 59–82; translation in Izv. Math. 67, no. 1, 55–76 03E15
  • Kanovei, Vladimir; Reeken, Michael; Mathematics in a nonstandard world. II. Math. Japon. 45, no. 3, 555–571.
  • Kanovei, Vladimir; On non-wellfounded iterations of the perfect set forcing. Journal of Symbolic Logic 64, no. 2, 551–574.
  • Kanovei, Vladimir; Shelah, Saharon; A definable nonstandard model of the reals. Journal of Symbolic Logic 69, no. 1, 159–164.
  • Kanovei, Vladimir; Reeken, Michael. Internal approach to external sets and universes. I. Bounded set theory. Studia Logica 55, no. 2, 229–257.
  • Kanovei, Vladimir; Reeken, Michael. Internal approach to external sets and universes. II. External universes over the universe of bounded set theory. Studia Logica 55, no. 3, 347–376.
  • Kanovei, Vladimir; Reeken, Michael. Internal approach to external sets and universes. III. Partially saturated universes. Studia Logica 56, no. 3, 293–322.